Integrable superstrings on the squashed three-sphere

Domenico Orlando, Linda I. Uruchurtu
2012 Journal of High Energy Physics  
In this note we study type II superstring theory on the direct product of AdS3, the squashed three-sphere and a four-torus (AdS3 \times SqS3 \times T4). We derive explicitly the Green-Schwarz action and discuss in detail the hidden integrable structure corresponding to local and non-local currents. We find that the model is classically integrable and that the currents generate a full psu(1, 1|2) superalgebra, even though the corresponding spacetime isometries are broken by the squashing.
doi:10.1007/jhep10(2012)007 fatcat:zroevrmnrnaibcocosfmo2pk5y